15. Noboru Kohiyama, Energy eigenvalues of the electron and another particle in the hydrogenlike atom derived from the relativistically modified Schrödinger equation

Energy eigenvalues of the electron and another particle in the hydrogenlike atom derived from the relativistically modified Schrödinger equation

Noboru Kohiyamaa)

2–1-5–710 Shinmeidai, Hamura City, Tokyo 205–0023, Japan

In order to express the relativistic properties of the wave equation for a particle with ½ spin, the Schrödinger equation is relativistically modified. In the hydrogen atom, the eigenvalues of energy derived from the Schrödinger equation and Dirac equation have a slight difference. The eigenvalues of energy in j (l+1/2, l – 1/2) electron state cannot be correctly evaluated from the nonrelativistic Schrödinger equation. In the hydrogenlike atom, the modified Schrödinger equation is solved for consistency with the eigenvalues of energy derived from the Dirac equation. Based on the consistency of their eigenvalues, another particle in addition to the electron is suggested.